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Finding the Fourth Proportional to 42,102.80, 63,140.53 and 14,015.32

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Solution

The fourth proportional to 42,102.80, 63,140.53 and 14,015.32 is: 21,018.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,102.80 : 63,140.53 = 14,015.32 : x
  2. Step 2: Convert to fraction form
    42,102.80/63,140.53 = 14,015.32/x
  3. Step 3: Cross multiply
    42,102.80x = 63,140.53 × 14,015.32
  4. Step 4: Simplify right side
    42,102.80x = 884,934,417.22
  5. Step 5: Solve for x
    x = 884,934,417.22/42,102.80
  6. Step 6: Final answer
    x = 21,018.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.